503390400 has 336 divisors, whose sum is σ = 1814169600. Its totient is φ = 121651200.

The previous prime is 503390399. The next prime is 503390411. The reversal of 503390400 is 4093305.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529501 + ... + 2529699.

Almost surely, 2^503390400 is an apocalyptic number.

503390400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

503390400 is an abundant number, since it is smaller than the sum of its proper divisors (1310779200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

503390400 is a wasteful number, since it uses less digits than its factorization.

503390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 503390400 is about 22436.3633416826. The cubic root of 503390400 is about 795.4904611712.

The spelling of 503390400 in words is "five hundred three million, three hundred ninety thousand, four hundred".